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- W2078107344 abstract "If k is a field, the projective Schur group PS( k ) of k is the subgroup of the Brauer group Br( k ) consisting of those classes which contain a projective Schur algebra, i.e., a homomorphic image of a twisted group algebra k α G with G finite, α ∈ H 2 ( G , k *). It has been conjectured by Nelis and Van Oystaeyen ( J. Algebra 137 (1991), 501-518) that PS( k ) = Br( k ) for all fields k . We disprove this conjecture by showing that PS( k ) ≠ Br( k ) for rational function fields k 0 ( x ) where k 0 is any infinite field which is finitely generated over its prime field." @default.
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- W2078107344 date "1995-12-01" @default.
- W2078107344 modified "2023-10-16" @default.
- W2078107344 title "On the Projective Schur Group of a Field" @default.
- W2078107344 doi "https://doi.org/10.1006/jabr.1995.1364" @default.
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